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Finding the Third Proportional to 30,333,837.38 and 64,919,202.75

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Solution

The third proportional to 30,333,837.38 and 64,919,202.75 is: 138,937,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,333,837.38 : 64,919,202.75 = 64,919,202.75 : x
  2. Step 2: Convert to fraction form
    30,333,837.38/64,919,202.75 = 64,919,202.75/x
  3. Step 3: Cross multiply
    30,333,837.38x = 64,919,202.75 × 64,919,202.75
  4. Step 4: Simplify right side
    30,333,837.38x = 4,214,502,885,695,607.50
  5. Step 5: Solve for x
    x = 4,214,502,885,695,607.50/30,333,837.38
  6. Step 6: Final answer
    x = 138,937,346.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.